Question: What is the relationship between the angles subtended by the same arc at the center and at the circumference of the circle?

Options:

1. The angle at the center is half of the angle at the circumference
2. The angle at the center is equal to the angle at the circumference
3. The angle at the center is double the angle at the circumference
4. There is no relationship

Correct Answer: The angle at the center is double the angle at the circumference

Solution:

The angle subtended at the center of the circle is always double the angle subtended at the circumference by the same arc.